document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200905>Question 1200905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Shop p had 200 apples and 300 oranges. Shop q had 240 apples and 100 oranges. How many apples and oranges must be moved from q to p so that half of the fruits in p and 3/4 of the fruits in q are apples in the end. <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835143 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "let x = # of apples moved from q to p<BR>\n" );
document.write( "let y = # of oranges moved from q to p<br><BR>\n" );
document.write( "After the move, we have<br><BR>\n" );
document.write( "200+x apples in p<BR>\n" );
document.write( "240-x apples in q<BR>\n" );
document.write( "300+y oranges in p<BR>\n" );
document.write( "100-y oranges in q<br><BR>\n" );
document.write( "After the move, half of the fruits in p are apples, so the number of apples in p is the same as the number of oranges in p.  And after the move, 3/4 of the fruits in q are apples, so the number of apples in q is 3 times the number of oranges in q.<br><BR>\n" );
document.write( "200+x = 300+y<BR>\n" );
document.write( "240-x = 3(100-y) = 300-3y<br><BR>\n" );
document.write( "One method for solving the pair of equations is to solve the first equation for y and substitute in the second equation.<br><BR>\n" );
document.write( "y = x-100<BR>\n" );
document.write( "240-x = 300-3(x-100)<BR>\n" );
document.write( "240-x = 600-3x<BR>\n" );
document.write( "2x = 360<BR>\n" );
document.write( "x = 180<BR>\n" );
document.write( "y= 180-100 = 80<br><BR>\n" );
document.write( "ANSWER: move x = 180 apples and y = 80 oranges from q to p<br><BR>\n" );
document.write( "CHECK:<br><BR>\n" );
document.write( "apples in p at the end: 200+180 = 380<BR>\n" );
document.write( "oranges in p at the end: 300+80 = 380<BR>\n" );
document.write( "half the fruits in p are apples<br><BR>\n" );
document.write( "apples in q at the end: 240-180 = 60<BR>\n" );
document.write( "oranges in q at the end: 100-80 = 20<BR>\n" );
document.write( "3/4 of the fruits in q are apples<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );